To find the reciprocal of a mixed number like \( 6 \frac{7}{8} \), follow these steps:

1. **Convert the mixed number to an improper fraction:**

   \[
   6 \frac{7}{8} = \frac{6 \times 8 + 7}{8} = \frac{48 + 7}{8} = \frac{55}{8}
   \]

2. **Find the reciprocal of the improper fraction:**

   The reciprocal of a fraction \( \frac{a}{b} \) is \( \frac{b}{a} \). So, the reciprocal of \( \frac{55}{8} \) is \( \frac{8}{55} \).

Thus, the reciprocal of \( 6 \frac{7}{8} \) is \( \frac{8}{55} \).

Would you like more details on any part of this process or have any questions?

Here are 5 related questions to consider:

1. How do you find the reciprocal of a fraction?
2. What is the process to convert a mixed number to an improper fraction?
3. How do you multiply and divide improper fractions?
4. What is the reciprocal of \( 4 \frac{2}{5} \)?
5. How can you simplify an improper fraction?

**Tip:** Remember, the reciprocal of a number is just the number flipped upside down, so for fractions, the numerator becomes the denominator and vice versa.

Learn how to find the reciprocal of a mixed number like 6 7/8 by converting it to an improper fraction and flipping the fraction. Follow our step-by-step process, including key concepts like converting mixed numbers to improper fractions and finding reciprocals. Suitable for students in Grades 5-7.

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